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Finding the Fourth Proportional to 2,095.35, 2,890.29 and 1,506.67

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Solution

The fourth proportional to 2,095.35, 2,890.29 and 1,506.67 is: 2,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.35 : 2,890.29 = 1,506.67 : x
  2. Step 2: Convert to fraction form
    2,095.35/2,890.29 = 1,506.67/x
  3. Step 3: Cross multiply
    2,095.35x = 2,890.29 × 1,506.67
  4. Step 4: Simplify right side
    2,095.35x = 4,354,713.23
  5. Step 5: Solve for x
    x = 4,354,713.23/2,095.35
  6. Step 6: Final answer
    x = 2,078.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.